Question Details:

A crate of mass1 on a frictionless inclined plane is attached to another crate, mass2 by a massless rope. The rope passes over an ideal pulley so the mass m2 is suspeneded in air. The plane is inclined at an angle 36.9. Use conservation of energy to find how fast crate m2 is moving after m1 has traveled a distance of 1.4m along the incline, startin from rest. The mass of m1 is 12.4kg and m2 is 16.3kg.

So, I think I am solving for the velocity of m2? I know by using a FBD that the tensions and normal force cancel out and all that is left is gravity acting as an outside force. I am stuck after this! Help to find this solution would be much appreciated

2 answers

If they are attached, they are moving the same velocity.

The energy balance is that M2 looses Potential energy, M2 gains Potential energy, and both gain KEnergy.

M2*gh-M1*g*1.4sinTheta+1/2 =(M1+M2)v^2
solve for v
1.5